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3 years ago

Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,...

Mathematics

1 answer:

Vadim26 [7]3 years ago

4 0

Answer:

an = 12 -7(n-1)

an = 19-7n

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

an = a1 +d(n-1) where a1 is the first term and d is the common difference

a1 =12

We find d by taking the second term and subtracting the first term

d = 5-12

d = -7

an = 12 -7(n-1)

We can simplify this

an = 12 -7n+7

an = 19-7n

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A bicycle tire has a radius of 11 inches. To the nearest inch, how far does the tire travel when it makes 7 revolutions?

jok3333 [9.3K]

Answer:

d = 483.56 inches

Step-by-step explanation:

We have,

Radius of a bicycle tire is 11 inches. It is required to find the distance traveled by the distance covered by the tire when it makes 7 revolutions. One revolution means the circumference of circle. So,

$C=2\pi r\\\\C=2\times 3.14\times 11\\\\C=69.08\ \text{inches}$

In 7 revolution, it will cover a distance of 7C i.e.

$C=69.08\times 7\\\\C=483.56\ \text{inches}$

So, the tire will cover a distance of 483.56 inches in 7 revolutions

8 0

3 years ago

!!!WILL GIVE BRANLIEST ASAP!!!

posledela

Answer:

Domain: (-3,-3,0,4)

Range: (-5,0,1,7)

Function: No

Step-by-step explanation:

Because there is a repeating -3 in the domain.

Brainliest please!

6 0

3 years ago

Write an expression for: the product of 4 and a number. Use x as the variable. Who ever gets it correct first gets brainliest.

maksim [4K]

X(4*1) because I’m just doing what I’m told.

7 0

3 years ago

4-2x=11 how do I solve

Bingel [31]

Hey there!☺

$Answer:\boxed{x=\frac{-7}{2}}$

$Explanation:$

$4-2x=11$

In our first step, we will simplify both sides of the equation:

$4+-2x=11\\-2x+4=11$

Now subtract 4 from both sides:

$-2x+4-4=11-4\\-2x=7$

In our last step, we will divide both sides by -2:

$\frac{-2x}{2}=\frac{7}{-2}\\ x=\frac{-7}{2}$

x=-7/2 is your answer.

Hope this helps!☺

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3 years ago

A toy store wants to give away free goody bags to their customers. They have 60 lollipops and 72 stickers to give away. They wan

Flura [38]

60 because each bag has to be the same

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3 years ago